If you lived in NJ during 2018, you will need to file a part-year resident return for the time that you were a resident of the state. NJ does not have a separate part-year resident form, so the state requires you to use resident return and only report the income on that return for the time that you lived in the state. To split unearned income (interest, dividend, capital gains) between the states, allocate it to the state you were a resident of when you received it.
If you continued to earn income after you moved from a NJ state source (for example: rental property), then you will also need to file a non-resident NJ return for the time period that you did not live in the state. And you will need to file a NJ non-resident return in the future as long as you have the NJ income source. See more information from the NJ Division of Taxation web-site below.
Since New Jersey does not have a special form for part-year filers, you must use the regular resident return, Form NJ-1040. The return provides a line for you to show the period of your residency in the state.
As a part-year resident, you report only the income you earned or received while you were a New Jersey resident. You must prorate all the credits, exclusions, exemptions, and deductions for which you qualify. That means you can take only that part of the full deduction, credit, exclusion, or exemption that represents the amount of time you were a resident of the state.
If you continued to receive income from New Jersey sources after you moved out of the state, or if you received income from New Jersey sources prior to moving to the state, then you also will have to file a New Jersey nonresident tax return, Form NJ-1040NR 1.1 mb. In this case, you will file both a part-year resident return and a part-year nonresident return.
https://www.state.nj.us/treasury/taxation/njit26.shtml
Also, below are links for allocating income between states and for preparing a non-resident return in TurboTax:
